Ahmad is 10 year older than Hafiz . After 8 years, Ali’s age is twice the age of Hafiz. Find Ali’s age after 8 years if the sum of Ahmad’s age and Ali’s age after 8 years is 46. *
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Answer:
Step-by-step explanation:
Let Hafiz Be X
Given That Ali is Twice the Age of Hafiz:
Ali = 2x
Ahmad = X + 10 ( Ten years older than Hafiz)
After 8 years:
Ahmad = X + 10 + 8 = X + 18
Ali = 2 ( X + 8 )
Sum of Ahmad's Age and Ali's Age:
x + 18 + 2 ( x + 8 ) = 46
x + 18 + 2x + 16 = 46
3x + 34 = 46
3x = 46 - 34
3x = 12
Therefore X = 4
Hafiz = 4 years
Ahmad = x + 10
Ahmad = 4 + 10
Ahmad = 14 years
Ali = 2 ( x + 8 )
Ali = 2 ( 4 + 8 )
Ali = 2 ( 12 )
Ali = 24 years.
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